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A student measures the distance traverse...

A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate g, the accelration due to gravity. If the maximum percentage errors in measurement of the distance and the time are `e_(1)` and `e_(2)` respectively, the percentage error in the estimation of g is -

A

`e_1 + 2e_2`

B

`e_1+ e_2 `

C

`e_1 - 2e_2 `

D

`e_2 - e_1`

Text Solution

Verified by Experts

The correct Answer is:
A
`h= (1)/(2) "gt"^(2) ` (for free fall)
`g= (2h)/(t^(2)) rArr (Delta g)/(g) = (Delta h)/(h) + (2Delta t)/(t) = e_1 + 2e_2`
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